Question

Use logarithm to evaluate
√415.2×0.076÷135

Answer 1

Solution :-

→ √415.2 * 0.076 ÷ 135

→ √415.2 * 0.076 / 135

→ log[(√(415.2) * 0.076] / log 135

using log(a * b) = log(a) + log(b)

→ log(√415.2) + log(0.076) / log 135

→ log(415.2)^(1/2) + log(0.076) / log 135

→ (1/2)log(415.2) + log(0.076) / log 135

→ log(415.2) + log(0.076) / 2 * log135

using log(a) / log (b) = log(a) - log(b)

→ log(415.2) + log(0.076) - log135 /2

putting values now,

→ 2.62 + (-1.12) - 2.13 / 2

→ 2.62 - 1.12 - 2.13 / 2

→ 2.62 - 3.65 / 2

→ (-0.63/2)

→ (-63/200) (Ans.)

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